Title :
Efficiency of the Geometric Integration of Landau–Lifshitz–Gilbert Equation Based on Cayley Transform
Author :
Bottauscio, Oriano ; Manzin, Alessandra
Author_Institution :
Ist. Naz. di Ricerca Metrologica (INRIM), Torino, Italy
fDate :
5/1/2011 12:00:00 AM
Abstract :
A geometric integration technique based on Cayley transform is applied to the time discretization of the Landau-Lifshitz-Gilbert equation. The numerical efficiency is studied, focusing on the influence of damping coefficient and mesh size on the maximum time step that guarantees stability and preservation of the Lyapunov structure of the micromagnetic equation.
Keywords :
damping; integration; magnetisation; micromagnetics; transforms; Cayley transform; Landau-Lifshitz-Gilbert equation; Lyapunov structure; damping coefficient; geometric integration technique; magnetization; maximum time step; mesh size; micromagnetic equation; numerical efficiency; time discretization; Algorithm design and analysis; Damping; Equations; Generators; Magnetization; Magnetomechanical effects; Saturation magnetization; Magnetization processes; micromagnetics; numerical analysis;
Journal_Title :
Magnetics, IEEE Transactions on
DOI :
10.1109/TMAG.2010.2095831
